Technical Aspects of Supervision

Technical Aspects of Supervision

The Commonwealth and International Library: Supervisory Studies

1st Edition - January 1, 1970

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  • Author: A. Lawlor
  • eBook ISBN: 9781483140490

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Description

Supervisory Studies: Technical Aspects of Supervision focuses on the technical aspects of management and their relationship to the job of the foreman. The book first takes a look at the organization of factories, including production system, size and character of factories, types of production, production facilities, and methods in handling materials. The text then discusses production design and development. Topics include technological change, market research, design of products, legal protection, patents, registered designs, and trademarks. The monograph reviews the process of production planning and control. Position of production control in the organization; production control and the control of production; divisions of production control; materials movement; and product specification are given importance. The text also reviews the technique of work study, including factory waste, status and division of work study, rules of motion economy, wage payment systems, and work measurement. The text is an important resource material for readers interested in the technical aspects of management.

Table of Contents


  • Contents

    Preface

    How to Use This Book

    Cross-References and Formulae

    Heading Markings

    Bullets

    Exercises and Problems

    Proofs

    Notation

    Warning. Asterisks

    1. Revision of Quantum Mechanics

    1. Basic Experimental Facts

    2. Heisenberg^ Uncertainty Principle

    3. The State Function

    4. Stationary States

    5. Normalization

    6. Operators and Eigenvalue Equations

    7. The Operator p

    8. The Operator x

    9. The Hamiltonian and the Schrödinger Equation

    10. Boundary Conditions: Quantization

    11. Degeneracy

    12. Commuting Operators

    13. Physical Meaning of Degeneracy

    14. Exercise: Electron in A Box

    75. Time Dependence

    16. Wave and Group Velocities

    17. Mean Values

    18. The Variational Method

    19. Exercises: The Hermitian Property. Orthogonality

    2. Free-Electron Theory of Metals

    1. The One-Particle Approximation

    2. Core and Metal Electrons. Pauli Principle

    3. The Free-Electron Model

    4. Periodic (Born-Von Karman) Boundary Conditions

    5. The Wave Function: Normalization

    6. The Eigenfunctions in Three Dimensions

    7. Degeneracy of The Levels

    8. The Fermi Energy

    9. The Density of States

    10. Soft X-Rays

    11. Heat Capacities

    3. The Effect of the Crystal Field in One Dimension: Bloch Functions

    1. The Use of Translational Symmetry

    1. Symmetry Operations

    2. Symmetry Operators

    3. The Eigenfunctions of The Symmetry Operators Are Eigenfunctions of the Hamiltonian

    4. S-Degeneracy

    5. The Importance of Continuity

    2. S-Degeneracy of The Eigenfunctions of The Translations

    3. Symmetry Operations of The Linear Chain: Translations and Inversion

    4. The Eigenfunctions of The Translations

    1. Bloch Functions

    2. Continuity: Bands

    5. Quantization of k

    6. Physical Considerations

    1. The Weak-Field Limit

    2. The Free-Atoms Limit

    3. Energy Gaps

    7. The Number of Eigenfunctions

    1. The Number of Different Eigenvalues is N

    2. Periodicity in k

    3. The Number of Bloch Functions is N

    8. The Effect of the Inversion

    1. The Inversion Changes k Into —k: Proof

    2. The Role of the Bloch Functions

    9. Degeneracy of the Bloch Functions

    10. Periodicity of the Energy

    11. Change of Interval

    12. Further Properties of the E(k) Curve

    13. Extended and Reduced Band Schemes: Brillouin Zones

    14. Band Crossings

    15. Filling in of The Energy States

    16. Propagation of An Electron in The Lattice: The Periodically Repeated Scheme

    17. Bragg Reflections

    18. Conductors and Insulators

    19. Effective Mass. Holes

    20. The Wave Functions

    21. Lattice with Basis

    22. Exercise: The Energy Gap

    1. Method

    2. Remarks

    23. The Nearly Free-Electron Approximation

    24. Fourier Coefficients of the Potential

    4. Bloch Functions and Brillouin Zones in Three Dimensions

    1. Crystal Periodicity

    7. Primitive and Unit Cells

    2. Bloch Functions in Three Dimensions

    3. Scalar Product and Reciprocal Vectors

    4. Reciprocal Lattice

    5. The Bloch Functions in Vector Notation

    6. The Wave Vector

    7. Symmetry in The Reciprocal Space

    8. E(k) = E(—k): Complex Conjugation

    1. Complex Conjugation

    9. The First Brillouin Zone

    10. Brillouin Zones of Higher Order

    11. Number of States in The Brillouin Zone

    12. Conditions For The Faces of The Brillouin Zones

    13. Symmetry Elements and The Faces of The Brillouin Zone

    14. Energy Contours, Filling-In of Zones, and Fermi Surfaces

    15. Bands, Overlaps, Conductors, and Insulators

    16. Velocity

    17. The Brillouin Zone For Cubic Lattices

    1. Properties of The Faces of The F.C.C. Brillouin Zone

    18. Hexagonal Close-Packed Lattice. Jones Zones

    19. Sticking Together of Bands in The H.C.P. Lattice

    20. Fourier Series in Three Dimensions

    1. The Orthonormal Functions

    2. Expansion of The Periodic Functions

    21. Lattice with Basis. Structure Factor

    22. The Nearly Free-Electron Approximation

    1. The Basic Expansion

    2. Condition For The Matrix Elements

    3. Form of The Expansion

    4. The Energy Gaps

    5. The Structure Factor and Energy Gaps

    5. Some Applications of Brillouin Zone Theory

    1. The Jones Theory of The Hume-Rothery Rules

    2. Further Theories of Phase Stability

    3. Peaks in The Density of States Curves

    4. Effect of The Fermi Energy On Lattice Parameters

    6. The Calculation of Band Structures and Fermi Surfaces

    1. The Problem and The Basic Equations

    1. The Bloch Sums

    2. The Energy Eigenvalues

    1. The secular determinant

    3. Exercise: Tight-Binding Treatment of A Linear Chain

    1.Formulae

    2. The Bloch Sums

    3. Computation of the Energy

    4. S and D bands

    5. Computation of the Energy

    3. The Nearly Free-Electron and Orthogonalized Plane Waves Method

    4. The Cellular Method

    1. The Potential Muffin Tins

    5. The Augmented Plane Wave Method (APW)

    6. Density of States and Fermi Surfaces

    7. Comparison with Experiment: Heat Capacities and De Haas-Van Alphen Effect

    1. Density of States and Heat Capacity

    2. The De Haas-Van Alphen Effect

    8. The Band Structure and Fermi Surface of Copper

    1. The Band Structure

    2. The Density of States

    3. The Fermi Surface and Comparison with De Haas-Van Alphen Results

    General References

    Index


Product details

  • No. of pages: 156
  • Language: English
  • Copyright: © Pergamon 1970
  • Published: January 1, 1970
  • Imprint: Pergamon
  • eBook ISBN: 9781483140490

About the Author

A. Lawlor

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